GCD of 421, 999, 71, 446 Calculator

Given Input numbers are 421, 999, 71, 446

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 421, 999, 71, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 999, 71, 446 is 1.

Therefore, GCD of numbers 421, 999, 71, 446 is 1

Given Input Data is 421, 999, 71, 446

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 421 is 421

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 71 is 71

Prime Factorization of 446 is 2 x 223

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(421, 999) = 420579

GCD(421, 999) = ( 421 x 999 ) / 420579

GCD(421, 999) = 420579 / 420579

GCD(421, 999) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 421, 999, 71, 446 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 376, 31, 413
• GCD of 428, 387, 24, 726
• GCD of 223, 549, 85, 462
• GCD of 534, 100, 46, 715
• GCD of 174, 449, 96, 971

1. What is the GCD of 421, 999, 71, 446?

GCD of 421, 999, 71, 446 is 1

2. Where do I get the detailed procedure to find GCD of 421, 999, 71, 446?

You can find a detailed procedure to find GCD of 421, 999, 71, 446 on our page.

3. How to find GCD of 421, 999, 71, 446 on a calculator?

You can find the GCD of 421, 999, 71, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.